Introduction
Topics of the article
Hamilton-Jacobi structure and holography= holomorphy vision
Basic questions
Hypercomplex arithmetics
About the definition of H-J structure
Hypercomplex counterpart of conformal invariance, 4-D conformal structure and H-J structure
About the solutions of Dirac equation in H assuming M4 K\"ahler structure
Dirac equation in H in the presence of M4 K\"ahler potential
A more detailed view
How to obtain massless states in M4 sense and what these states are?
Possible physical implications
Holomorphic solutions of Dirac equation for the induced spinors in X4
TGD view of standard model physics and hadron physics in particular
How could the transitions between hadronic and quark phases occur in the TGD framework?
A more detailed vision stimulated by the analysis of LLM session
Unitarity constraint and the construction of S-matrix in the TGD framework
Possible generalizations of elliptic curves and corresponding lattices to 4-D situation
Hypercomplex and 4-D analogs of lattices associated with elliptic surfaces
4-D lattices formed by space-time surfaces
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